Archive: 2008 - Moldavian Journal of the Physical Sciences

05 Apr 2008

2008
V. 7
2
(p.182 - 196)

Carrier multiplication in quantum dots. Billiards packet ball mechanism, quantum fluctuations, and accompanying Raman scattering phenomena.

Authors:

Moscalenco, Sveatoslav; Dobîndă, Igor; Ştefan, Angela; Pavlenco, Vladimir; Leleacov, Igor

Summary:

The carrier multiplication (CM) in spherical semiconductor quantum dots (QDs) as a re- sult of single photon absorption is studied. Semiconductors with simple parabolic electron- hole bands were considered when the band-to-band electron photon quantum transitions lead to creation of electron-hole (e-h) pairs with the same quantum numbers l, n, m of the envelope functions for electron and hole. In the frame of the perturbation theory the electron-radiation interband interaction with resonant and antiresonant terms as well as the electron-electron Coulomb interaction representing the long-range dipole-dipole interaction was engaged. A mechanism of the CM process similar with the packet balls in the billiards game is proposed. An alternative mechanism related with the quantum fluctuation in the electron- photon system leading to the simultaneous creation from the vacuum of one e-h pair and of a secondary photon is discussed. When their creation energies are supplied by the energy of the incident photon the CM process is accompanied by the Raman scattered photon. The creation of two and three e-h pairs in both variants is described. In both cases the first matrix elements between the initial state i and the first intermediary state 1 u are calculated on the base of resonant interband electron-radiation interaction. In the billiards packet ball mechanism the next matrix elements of the perturbation theory are calculated on the base of Coulomb interaction. When the quantum fluctuations are taken into account one of the next matrix elements is calculated on the base of the antiresonant part of the electron-radiation interaction. In the first case the CM process is characterized by a lorentzian-type absorption peak, whereas the CM accompanied by the Raman scattered photon is characterized by a smooth absorption plateau. This difference can explain the existence of the threshold on the frequency dependences of the CM quantum efficiency, in the spectral regions corresponding to creation of two or three e-h pairs in different QDs.

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<meta name="citation_title" content="Carrier multiplication in quantum dots. 
Billiards packet ball mechanism, quantum fluctuations, and accompanying Raman scattering phenomena. ">
<meta name="citation_author" content="Moscalenco, Sveatoslav">
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to creation of electron-hole (e-h) pairs with the same quantum numbers l, n, m of the envelope 
functions for electron and hole. In the frame of the perturbation theory the electron-radiation 
interband interaction with resonant and antiresonant terms as well as the electron-electron 
Coulomb interaction representing the long-range dipole-dipole interaction was engaged. 
A mechanism of the CM process similar with  the packet balls in the billiards game is 
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secondary photon is discussed. When their creation energies are supplied by the energy of the 
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BibTeX

@article{ibn_3803,
author = {Moscalenco, S.A. and Dobîndă, I.I. and Ştefan, A.G. and Pavlenco, V.I. and Leleacov, I.A.},
title = {Carrier multiplication in quantum dots. 
Billiards packet ball mechanism, quantum fluctuations, and accompanying Raman scattering phenomena. },
journal = {Moldavian Journal of the Physical Sciences},
year = {2008},
volume = {7 (2)},
pages = {182-196},
month = {Apr},
abstract = {(EN) The carrier multiplication (CM) in spherical semiconductor quantum dots (QDs) as a re-

sult of single photon absorption is studied. Semiconductors with simple parabolic electron-
hole bands were considered when the band-to-band electron photon quantum transitions lead 
to creation of electron-hole (e-h) pairs with the same quantum numbers l, n, m of the envelope 
functions for electron and hole. In the frame of the perturbation theory the electron-radiation 
interband interaction with resonant and antiresonant terms as well as the electron-electron 
Coulomb interaction representing the long-range dipole-dipole interaction was engaged. 
A mechanism of the CM process similar with  the packet balls in the billiards game is 
proposed. An alternative mechanism related with the quantum fluctuation in the electron-
photon system leading to the simultaneous creation from the vacuum of one e-h pair and of a 
secondary photon is discussed. When their creation energies are supplied by the energy of the 
incident photon the CM process is accompanied by the Raman scattered photon. The creation 
of two and three e-h pairs in both variants is described. In both cases the first matrix elements 
between the initial state  i  and the first intermediary state  1 u  are calculated on the base of 
resonant interband electron-radiation interaction. In the billiards packet ball mechanism the 
next matrix elements of the perturbation theory are calculated on the base of Coulomb interaction. 
When the quantum fluctuations are taken into account one of the next matrix elements 
is calculated on the base of the antiresonant part of the electron-radiation interaction. 
In the first case the CM process is characterized by a lorentzian-type absorption peak, 
whereas the CM accompanied by the Raman scattered photon is characterized by a smooth 
absorption plateau. This difference can explain the existence of the threshold on the frequency 
dependences of the CM quantum efficiency, in the spectral regions corresponding to creation 
of two or three e-h pairs in different QDs. },
url = {https://ibn.idsi.md/vizualizare_articol/3803},
}

DataCite

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Billiards packet ball mechanism, quantum fluctuations, and accompanying Raman scattering phenomena. </title>
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hole bands were considered when the band-to-band electron photon quantum transitions lead 
to creation of electron-hole (e-h) pairs with the same quantum numbers l, n, m of the envelope 
functions for electron and hole. In the frame of the perturbation theory the electron-radiation 
interband interaction with resonant and antiresonant terms as well as the electron-electron 
Coulomb interaction representing the long-range dipole-dipole interaction was engaged. 
A mechanism of the CM process similar with  the packet balls in the billiards game is 
proposed. An alternative mechanism related with the quantum fluctuation in the electron-
photon system leading to the simultaneous creation from the vacuum of one e-h pair and of a 
secondary photon is discussed. When their creation energies are supplied by the energy of the 
incident photon the CM process is accompanied by the Raman scattered photon. The creation 
of two and three e-h pairs in both variants is described. In both cases the first matrix elements 
between the initial state  i  and the first intermediary state  1 u  are calculated on the base of 
resonant interband electron-radiation interaction. In the billiards packet ball mechanism the 
next matrix elements of the perturbation theory are calculated on the base of Coulomb interaction. 
When the quantum fluctuations are taken into account one of the next matrix elements 
is calculated on the base of the antiresonant part of the electron-radiation interaction. 
In the first case the CM process is characterized by a lorentzian-type absorption peak, 
whereas the CM accompanied by the Raman scattered photon is characterized by a smooth 
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sult of single photon absorption is studied. Semiconductors with simple parabolic electron-
hole bands were considered when the band-to-band electron photon quantum transitions lead 
to creation of electron-hole (e-h) pairs with the same quantum numbers l, n, m of the envelope 
functions for electron and hole. In the frame of the perturbation theory the electron-radiation 
interband interaction with resonant and antiresonant terms as well as the electron-electron 
Coulomb interaction representing the long-range dipole-dipole interaction was engaged. 
A mechanism of the CM process similar with  the packet balls in the billiards game is 
proposed. An alternative mechanism related with the quantum fluctuation in the electron-
photon system leading to the simultaneous creation from the vacuum of one e-h pair and of a 
secondary photon is discussed. When their creation energies are supplied by the energy of the 
incident photon the CM process is accompanied by the Raman scattered photon. The creation 
of two and three e-h pairs in both variants is described. In both cases the first matrix elements 
between the initial state  i  and the first intermediary state  1 u  are calculated on the base of 
resonant interband electron-radiation interaction. In the billiards packet ball mechanism the 
next matrix elements of the perturbation theory are calculated on the base of Coulomb interaction. 
When the quantum fluctuations are taken into account one of the next matrix elements 
is calculated on the base of the antiresonant part of the electron-radiation interaction. 
In the first case the CM process is characterized by a lorentzian-type absorption peak, 
whereas the CM accompanied by the Raman scattered photon is characterized by a smooth 
absorption plateau. This difference can explain the existence of the threshold on the frequency 
dependences of the CM quantum efficiency, in the spectral regions corresponding to creation 
of two or three e-h pairs in different QDs. </dc:description>
<dc:source>Moldavian Journal of the Physical Sciences 7 (2) 182-196</dc:source>
<dc:title>Carrier multiplication in quantum dots. 
Billiards packet ball mechanism, quantum fluctuations, and accompanying Raman scattering phenomena. </dc:title>
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“ ... ”

SM ISO690:2012

MOSCALENCO, Sveatoslav; DOBÎNDĂ, Igor; ŞTEFAN, Angela; PAVLENCO, Vladimir; LELEACOV, Igor. Carrier multiplication in quantum dots. Billiards packet ball mechanism, quantum fluctuations, and accompanying Raman scattering phenomena. . In: Moldavian Journal of the Physical Sciences. 2008, nr. 2(7), pp. 182-196. ISSN 1810-648X.